Noncyclic subgroups of multiplicative group of integers mod n

I want to find an $ n$ such that $ \mathbb{Z}/n\mathbb{Z}^{\times}$ has a noncyclic subgroup, and I’m struggling to think of an example of such a subgroup. How can I construct such a subgroup without thinking about the cyclic subgroups generated by the elements of $ \mathbb{Z}/n\mathbb{Z}^{\times}$ ?